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Finding the Fourth Proportional to 20,457.70, 30,682.11 and 7,310.98

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Solution

The fourth proportional to 20,457.70, 30,682.11 and 7,310.98 is: 10,964.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,457.70 : 30,682.11 = 7,310.98 : x
  2. Step 2: Convert to fraction form
    20,457.70/30,682.11 = 7,310.98/x
  3. Step 3: Cross multiply
    20,457.70x = 30,682.11 × 7,310.98
  4. Step 4: Simplify right side
    20,457.70x = 224,316,292.57
  5. Step 5: Solve for x
    x = 224,316,292.57/20,457.70
  6. Step 6: Final answer
    x = 10,964.88

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.